Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
3004 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6924 | 0.8752 | 0.7911 | [M:[1.0754, 0.7738, 0.6935, 1.1558, 0.8442, 0.8442], q:[0.5377, 0.3869], qb:[0.7688, 0.4573], phi:[0.4623]] | [M:[[4], [-12], [-3], [-5], [5], [5]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | -1 | t^2.08 + t^2.322 + 2*t^2.533 + t^2.774 + t^2.985 + t^3.226 + t^3.708 + t^3.92 + t^4.131 + 2*t^4.161 + t^4.372 + t^4.402 + 3*t^4.613 + t^4.643 + 3*t^4.854 + 4*t^5.065 + t^5.095 + 4*t^5.307 + 2*t^5.518 + t^5.548 + 2*t^5.759 + t^5.97 - t^6. + t^6.03 + t^6.211 + 3*t^6.241 + 2*t^6.452 + 3*t^6.482 + 2*t^6.663 + 5*t^6.693 + t^6.723 + 3*t^6.905 + 3*t^6.935 + t^6.965 + t^7.116 + 5*t^7.146 + 2*t^7.176 + t^7.357 + 5*t^7.387 + 2*t^7.417 + 5*t^7.598 + 3*t^7.628 + 5*t^7.839 + 2*t^7.869 + 4*t^8.05 + t^8.262 + 4*t^8.292 + t^8.352 + 3*t^8.503 - 3*t^8.533 + 3*t^8.563 + 3*t^8.744 + 3*t^8.774 + 3*t^8.804 + t^8.955 + t^8.985 - t^4.387/y - t^6.467/y - t^6.708/y - t^6.92/y + t^7.402/y + (2*t^7.613)/y + (4*t^7.854)/y + (3*t^8.065)/y + t^8.095/y + (5*t^8.307)/y + (2*t^8.518)/y + (3*t^8.759)/y - t^4.387*y - t^6.467*y - t^6.708*y - t^6.92*y + t^7.402*y + 2*t^7.613*y + 4*t^7.854*y + 3*t^8.065*y + t^8.095*y + 5*t^8.307*y + 2*t^8.518*y + 3*t^8.759*y | t^2.08/g1^3 + t^2.322/g1^12 + 2*g1^5*t^2.533 + t^2.774/g1^4 + g1^13*t^2.985 + g1^4*t^3.226 + t^3.708/g1^14 + g1^3*t^3.92 + g1^20*t^4.131 + (2*t^4.161)/g1^6 + g1^11*t^4.372 + t^4.402/g1^15 + 3*g1^2*t^4.613 + t^4.643/g1^24 + (3*t^4.854)/g1^7 + 4*g1^10*t^5.065 + t^5.095/g1^16 + 4*g1*t^5.307 + 2*g1^18*t^5.518 + t^5.548/g1^8 + 2*g1^9*t^5.759 + g1^26*t^5.97 - t^6. + t^6.03/g1^26 + g1^17*t^6.211 + (3*t^6.241)/g1^9 + 2*g1^8*t^6.452 + (3*t^6.482)/g1^18 + 2*g1^25*t^6.663 + (5*t^6.693)/g1 + t^6.723/g1^27 + 3*g1^16*t^6.905 + (3*t^6.935)/g1^10 + t^6.965/g1^36 + g1^33*t^7.116 + 5*g1^7*t^7.146 + (2*t^7.176)/g1^19 + g1^24*t^7.357 + (5*t^7.387)/g1^2 + (2*t^7.417)/g1^28 + 5*g1^15*t^7.598 + (3*t^7.628)/g1^11 + 5*g1^6*t^7.839 + (2*t^7.869)/g1^20 + 4*g1^23*t^8.05 + g1^40*t^8.262 + 4*g1^14*t^8.292 + t^8.352/g1^38 + 3*g1^31*t^8.503 - 3*g1^5*t^8.533 + (3*t^8.563)/g1^21 + 3*g1^22*t^8.744 + (3*t^8.774)/g1^4 + (3*t^8.804)/g1^30 + g1^39*t^8.955 + g1^13*t^8.985 - t^4.387/(g1^2*y) - t^6.467/(g1^5*y) - t^6.708/(g1^14*y) - (g1^3*t^6.92)/y + t^7.402/(g1^15*y) + (2*g1^2*t^7.613)/y + (4*t^7.854)/(g1^7*y) + (3*g1^10*t^8.065)/y + t^8.095/(g1^16*y) + (5*g1*t^8.307)/y + (2*g1^18*t^8.518)/y + (3*g1^9*t^8.759)/y - (t^4.387*y)/g1^2 - (t^6.467*y)/g1^5 - (t^6.708*y)/g1^14 - g1^3*t^6.92*y + (t^7.402*y)/g1^15 + 2*g1^2*t^7.613*y + (4*t^7.854*y)/g1^7 + 3*g1^10*t^8.065*y + (t^8.095*y)/g1^16 + 5*g1*t^8.307*y + 2*g1^18*t^8.518*y + 3*g1^9*t^8.759*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
3633 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.6924 | 0.8751 | 0.7912 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 0.8462], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | t^2.077 + t^2.308 + 2*t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.692 + t^3.923 + 3*t^4.154 + 2*t^4.385 + 4*t^4.615 + 3*t^4.846 + 5*t^5.077 + 4*t^5.308 + 3*t^5.538 + 2*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 24339/35152, c: 30761/35152, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 11/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6791 | 0.8522 | 0.7969 | [M:[1.0793, 0.762, 0.6905, 1.1508, 0.8492], q:[0.5397, 0.381], qb:[0.7698, 0.4682], phi:[0.4603]] | t^2.071 + t^2.286 + t^2.548 + t^2.762 + t^3.024 + t^3.238 + t^3.452 + t^3.667 + t^3.929 + 2*t^4.143 + t^4.19 + t^4.357 + t^4.405 + t^4.572 + 2*t^4.619 + 2*t^4.833 + t^5.048 + 2*t^5.095 + 3*t^5.31 + 2*t^5.524 + t^5.571 + t^5.738 + t^5.786 + t^5.953 - t^4.381/y - t^4.381*y | detail |